Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400bu |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-11430720000 = -1 · 29 · 36 · 54 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -3 2 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,-5150] |
[a1,a2,a3,a4,a6] |
Generators |
[30:140:1] |
Generators of the group modulo torsion |
j |
-200/49 |
j-invariant |
L |
5.7878845558741 |
L(r)(E,1)/r! |
Ω |
0.56945190232547 |
Real period |
R |
1.6939928061409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999629 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50400eh1 100800gx1 5600v1 50400dt1 |
Quadratic twists by: -4 8 -3 5 |